A classification of open Gaussian dynamics. (22nd May 2018)

• Record Type: Journal Article
• Authors: Grimmer, Daniel; Brown, Eric; Kempf, Achim; Mann, Robert B; Martín-Martínez, Eduardo
• Is Part Of: Journal of physics. Volume 51:Number 24(2018)
• Publication Date: 2018-05-22
• Subjects: open quantum systems -- Gaussian quantum mechanics -- master equation; Mathematical physics -- Periodicals; Statistical physics -- Periodicals; Quantum theory -- Periodicals; Matter -- Properties -- Periodicals; 530.105
• DOI: 10.1088/1751-8121/aac114
• Languages: English
• ISSNs: 1751-8113

Abstract

Abstract: We introduce a classification scheme for the generators of bosonic open Gaussian dynamics, providing instructive diagrams description for each type of dynamics. Using this classification, we discuss the consequences of imposing complete positivity on Gaussian dynamics. In particular, we show that non-symplectic operations must be active to allow for complete positivity. In addition, non-symplectic operations can, in fact, conserve the volume of phase space only if the restriction of complete positivity is lifted. We then discuss the implications for the relationship between information and energy flows in open quantum mechanics.